Estimating the strength of chaos from the power spectrum |
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| Authors: | H G Schuster |
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| Institution: | (1) Institut für Theoretische Physik der Universität, Robert-Mayer-Strasse 8-10, D-6000 Frankfurt/Main, Federal Republic of Germany |
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| Abstract: | It is rigorously proved that for nonlinear dynamical systems whose time dependence is described by one dimensional, everywhere expanding maps, the width  of broadband noise in the power spectrum is bounded by the generalized entropiesK
2 andK
3, which measure the strength of chaos in this system asK
2 2K
3.Dedicated to Professor Harry Thomas on the occasion of his 60th birthday |
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| Keywords: | |
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